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Onto Function

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf (f:[0,\infty)\to[0,\infty)) and (f(x)=x^2), is (f) onto or not?Class 12Relations and FunctionsOnto functionHard MathematicsThe function (f:\mathbb{N}\to\mathbb{N}), where (f(n)=n+2), is not onto for which reason?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{Z}\to\mathbb{Z}) is defined by (f(n)=n+5), is (f) onto?Class 12Relations and FunctionsOnto functionHard MathematicsWhy is the function (f:\mathbb{R}\to\mathbb{R}), where (f(x)=x^2+1), not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (A) has (6) elements and (B) has (3) elements, what is the number of onto functions from (A) to (B)?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:[-\frac{\pi}{2},\frac{\pi}{2}]\to[-1,1]), (f(x)=\sin x), which conclusion is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}) and (f(x)=x^2-2x+5), why is it not onto?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\setminus{-2}\to\mathbb{R}\setminus{3}) and (f(x)=\frac{3x+1}{x+2}), choose the correct statement.Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=\lfloor x\rfloor), what is the correct statement about being onto?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:(0,\infty)\to(0,\infty)), (f(x)=\ln x), which conclusion is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:(0,\infty)\to\mathbb{R}), (f(x)=\ln x), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct option for (f:[1,\infty)\to[0,\infty)), (f(x)=x^2-1).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^6+1), which statement is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to(-\infty,4]), (f(x)=4-x^2), what is the correct statement about the function?Class 12Relations and FunctionsOnto functionHard MathematicsFor (f:\mathbb{R}\to[-3,\infty)), (f(x)=x^2-3), which option is correct?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:[0,\infty)\to[1,\infty)), (f(x)=x^3+1), why is it onto?Class 12Relations and FunctionsOnto functionHard MathematicsChoose the correct statement for (f:[0,\infty)\to\mathbb{R}), (f(x)=x^3+1).Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:\mathbb{R}\to\mathbb{R}), (f(x)=x^3+1), what is (x) for any (y\in\mathbb{R}) such that (f(x)=y)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (g:B\to C) and (f:A\to B) are both onto, what can be said about (g\circ f:A\to C)?Class 12Relations and FunctionsOnto functionHard MathematicsIf (f:A\to B) is onto and (A), (B) are finite sets, which relation is always true?Class 12Relations and FunctionsOnto functionHard